Pith Number

pith:M7EXB7YY

pith:2008:M7EXB7YYHGJFKNH326BIF4BB7K

not attested not anchored not stored refs pending

The operational meaning of min- and max-entropy

Christian Schaffner, Renato Renner, Robert Koenig

arxiv:0807.1338 v2 · 2008-07-08 · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M7EXB7YYHGJFKNH326BIF4BB7K}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Quantum randomness beyond projective measurements

Receipt and verification

First computed	2026-05-18T01:26:19.387887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67c970ff1839925534fbd78282f021faa53bb5cb2de08d55fef9328118524df8

Aliases

arxiv: 0807.1338 · arxiv_version: 0807.1338v2 · doi: 10.48550/arxiv.0807.1338 · pith_short_12: M7EXB7YYHGJF · pith_short_16: M7EXB7YYHGJFKNH3 · pith_short_8: M7EXB7YY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/M7EXB7YYHGJFKNH326BIF4BB7K \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 67c970ff1839925534fbd78282f021faa53bb5cb2de08d55fef9328118524df8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f7d3c463c9aabbb3a024db51acbc2d86a83c8596152024be1d1de14e74a2ea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-07-08T21:12:54Z",
    "title_canon_sha256": "71d47e8b052a6d924a2b74208f02767405446b0d87be6de52d52c99b60930026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.1338",
    "kind": "arxiv",
    "version": 2
  }
}